A note on spacelike and timelike compactness (Q2841449)
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scientific article; zbMATH DE number 6191798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on spacelike and timelike compactness |
scientific article; zbMATH DE number 6191798 |
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A note on spacelike and timelike compactness (English)
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25 July 2013
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spacelike compactness
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timelike compactness
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Cauchy problem
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The author compares several topological notions, which are used in papers on globally hyperbolic spacetimes and the related Cauchy problem for the propagation of a scalar field \(\Phi\). These topological notions are of the structure: \(\Phi\) has compact support in spacelike directions, etc. Also advanced, retarded, future and past compact sets are distinguished. Several theorems state under which circumstances which of these notions lead to (in-)equivalent statements.
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